What is the Greatest Common Factor of 82137 and 82149?

Greatest common factor (GCF) of 82137 and 82149 is 3.

GCF(82137,82149) = 3

We will now calculate the prime factors of 82137 and 82149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82137 and 82149.

How to find the GCF of 82137 and 82149?

We will first find the prime factorization of 82137 and 82149. After we will calculate the factors of 82137 and 82149 and find the biggest common factor number .

Step-1: Prime Factorization of 82137

Prime factors of 82137 are 3, 11, 19, 131. Prime factorization of 82137 in exponential form is:

82137 = 3¹ × 11¹ × 19¹ × 131¹

Step-2: Prime Factorization of 82149

Prime factors of 82149 are 3, 139, 197. Prime factorization of 82149 in exponential form is:

82149 = 3¹ × 139¹ × 197¹

Step-3: Factors of 82137

List of positive integer factors of 82137 that divides 82137 without a remainder.

1, 3, 11, 19, 33, 57, 131, 209, 393, 627, 1441, 2489, 4323, 7467, 27379

Step-4: Factors of 82149

List of positive integer factors of 82149 that divides 82137 without a remainder.

1, 3, 139, 197, 417, 591, 27383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82137 and 82149. The biggest common factor number is the GCF number.
So the greatest common factor 82137 and 82149 is 3.

Also check out the Least Common Multiple of 82137 and 82149